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math.AP2017★ 8 cited
Asymptotic decay and non-rupture of viscous sheets
Marco A. Fontelos, G. Kitavtsev, R. M. Taranets
For a nonlinear system of coupled PDEs, that describes evolution of a viscous thin liquid sheet and takes account of surface tension at the free surface, we show exponential $(H^1,…
math.AP2017
Strong solutions of the thin film equation in spherical geometry
Roman M. Taranets
We study existence and long-time behaviour of strong solutions for the thin film equation using a priori estimates in a weighted Sobolev space. This equation can be classified as a…